Atkin-Lehner |
2- 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260x |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11592779616000 = 28 · 37 · 53 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24641967,47082679526] |
[a1,a2,a3,a4,a6] |
Generators |
[22946:-1665:8] |
Generators of the group modulo torsion |
j |
8867114845499418890704/62118375 |
j-invariant |
L |
4.5019728249194 |
L(r)(E,1)/r! |
Ω |
0.35149000084172 |
Real period |
R |
1.0673544088185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420f2 |
Quadratic twists by: -3 |